10506027784 has 128 divisors (see below), whose sum is σ = 23351328000. Its totient is φ = 4339298304.

The previous prime is 10506027781. The next prime is 10506027817. The reversal of 10506027784 is 48772060501.

It is a super-2 number, since 2×10506027784² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506027781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45090132 + ... + 45090364.

It is an arithmetic number, because the mean of its divisors is an integer number (182432250).

Almost surely, 2^10506027784 is an apocalyptic number.

10506027784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10506027784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11675664000).

10506027784 is an abundant number, since it is smaller than the sum of its proper divisors (12845300216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10506027784 is a wasteful number, since it uses less digits than its factorization.

10506027784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 10506027784 in words is "ten billion, five hundred six million, twenty-seven thousand, seven hundred eighty-four".